Motion of Block in Contact is considered one the most difficult concept.
8 Questions around this concept.
A block of mass m is connected to another block of mass M by a spring ( massless ) of spring constant K . The blocks are kept on a smooth horizontal plane.Initially the blocks are at rest and the spring is unstretched Then a constant force F starts acting on the block of mass M to pull it. Find the force of the block of mass m.
Three blocks A, B and C, of masses 4 kg, 2 kg and 1 kg respectively, are in contact on a frictionless surface, as shown. If a force of 14 N is applied on the 4 kg block, then the contact force between A and B is:

$\begin{aligned} & \text { Use } F_{\text {net }}=m a \\ & a=\frac{F_{\text {net }}}{m_1+m_2}\end{aligned}$
When 2 Blocks are in Contact

$\begin{aligned} & F-f=m_1 a \\ & f=m_2 a \\ & a=\frac{F}{m_1+m_2} \\ & f=\frac{m_2 F}{m_1+m_2}\end{aligned}$
When 3 Blocks are in Contact

$$
\text { Use } F_{n e t}=m a
$$
$$
a=\frac{F}{m_1+m_2+m_3}
$$
$$
\begin{aligned}
f_1 & =\frac{\left(m_2+m_3\right) F}{m_1+m_2+m_3} \\
f_2 & =\frac{m_3 F}{m_1+m_2+m_3}
\end{aligned}
$$
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